Basic Math Examples

$\frac{4 y + 1}{4 y} + \frac{6 y - 11}{4 y}$

Step 1

Combine the numerators over the common denominator.

$\frac{4 y + 1 + 6 y - 11}{4 y}$

Step 2

Add $4 y$ and $6 y$ .

$\frac{10 y + 1 - 11}{4 y}$

Step 3

Subtract $11$ from $1$ .

$\frac{10 y - 10}{4 y}$

Step 4

Cancel the common factor of $10 y - 10$ and $4$ .

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Step 4.1

Factor $2$ out of $10 y$ .

$\frac{2 (5 y) - 10}{4 y}$

Step 4.2

Factor $2$ out of $- 10$ .

$\frac{2 (5 y) + 2 (- 5)}{4 y}$

Step 4.3

Factor $2$ out of $2 (5 y) + 2 (- 5)$ .

$\frac{2 (5 y - 5)}{4 y}$

Step 4.4

Cancel the common factors.

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Step 4.4.1

Factor $2$ out of $4 y$ .

$\frac{2 (5 y - 5)}{2 (2 y)}$

Step 4.4.2

Cancel the common factor.

$\frac{2 (5 y - 5)}{2 (2 y)}$

Step 4.4.3

Rewrite the expression.

$\frac{5 y - 5}{2 y}$

$\frac{5 y - 5}{2 y}$

$\frac{5 y - 5}{2 y}$

Step 5

Factor $5$ out of $5 y - 5$ .

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Step 5.1

Factor $5$ out of $5 y$ .

$\frac{5 (y) - 5}{2 y}$

Step 5.2

Factor $5$ out of $- 5$ .

$\frac{5 (y) + 5 (- 1)}{2 y}$

Step 5.3

Factor $5$ out of $5 (y) + 5 (- 1)$ .

$\frac{5 (y - 1)}{2 y}$

$\frac{5 (y - 1)}{2 y}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$